NVL:
Lets say the probability of winning Lotto is p (0 < p < 1). Lets call the probability of winning in lotto if one playes every day for an infinite number of days is Q. Lets leave the philosophical details aside and assume it exist (which we have both done). I claim Q = 1.
Proof:
Assume Q < 1. That means that the probability of NOT winning the lottery in an infinite amount of playes is 1-Q > 0.
The probability of NOT winning the lottery in 1 play is 1-p and not winning it in N dayes (1 play a day) is (1-p)^N. Clearly we must have
(1-p)^N >= 1-Q > 0.
for all N.
Now choose N such that N > log(1-Q)/log(1-p) and you have derived a contradiction. Thus Q = 1.